Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	296×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	320	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y z)) (* z 5.0))
0.0b	(* x (+ y z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

12.0ms	(+ (* x (+ y z)) (* z 5.0))
18.0ms	(* x (+ y z))

series50.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x (+ y z)) (* z 5.0))
22.0ms	(* x (+ y z))

simplify122.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4187	168
3	5001	168

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* x z)) (* z 5.0))
0.0b	(+ (* x y) (* x z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

29.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))
8.0ms	(+ (* x y) (* x z))

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (+ (* x y) (* x z)) (* z 5.0))
28.0ms	(+ (* x y) (* x z))

simplify100.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	182	194
1	727	170
2	3072	165
3	5001	165

prune59.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))) (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

127.0ms	(* (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))) (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
18.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
15.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
15.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))) (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
133.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
135.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
134.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	320	1464
1	1121	1352
2	5002	1209

prune263.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
0.6b	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
0.6b	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
0.6b	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

15.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
16.0ms	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
18.0ms	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
16.0ms	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))

series552.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ (+ (* x y) (* x z)) (* z 5.0)))
140.0ms	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
137.0ms	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))
140.0ms	(cbrt (cbrt (+ (+ (* x y) (* x z)) (* z 5.0))))

simplify84.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	251	972
1	701	910
2	2596	867
3	5001	863

prune281.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

sample490.0ms

Algorithm

intervals

Results

197.0ms	9751×	body	80	valid
12.0ms	106×	body	1280	valid
7.0ms	109×	body	640	valid
3.0ms	65×	body	320	valid
2.0ms	44×	body	160	valid